Abstract:Starting from the second quantization formalism of the Quasispin,Spin and Orbital angular momentum operators,the QSL classification of l-shell states has been discussed,a recursion formula calculating the multiplets of QSL classification is derived from Pauli principle and the classified results of p,d,f-shell is presented. A computation program for calculating the QSL coupled wave function of l-shell has been written with the Slater-Condon rules for computing the matrix elements of Q2,S2,L2 operators,and a linear algebra subroutine for diagonalization. The code takes about 30 seconds for p-shell and d-shell,about 24 minites for f-shell on VAX-11/730.